# Banach algebra

(redirected from Commutative Banach algebra)

## Banach algebra

[′bä‚näk ′al·jə·brə]
(mathematics)
An algebra which is a Banach space satisfying the property that for every pair of vectors, the norm of the product of those vectors does not exceed the product of their norms.

## Banach algebra

(mathematics)
An algebra in which the vector space is a Banach space.
Mentioned in ?
References in periodicals archive ?
R]) with the pointwise multiplication becomes a commutative Banach algebra.
The set M(A) of all multipliers of A is a unital commutative Banach algebra, called the multiplier algebra of A.
becomes a commutative Banach algebra with the constant function 1 as the identity.
Let A be a commutative Banach algebra without order.
B]) be an abstract Segai algebra with respect to the commutative Banach algebra (A, [parallel] x [[parallel].
The converse holds, whenever A is either unital or a commutative Banach algebra.
Since SA(G) is a commutative Banach algebra, Lemma 3.
are considered in when T is a power bounded operator on a commutative Banach algebra [?
ii) A commutative Banach algebra is n-weakly amenable if and only if it is approximately n-weakly amenable.
A])) shows that the Gelfand transform establishes a connection between the abstract commutative Banach algebra A and the concrete commutative [C.
Rota-Baxter operators appeared in the work of Baxter [3] on differential operators on commutative Banach algebras, being particularly useful in relation to the Spitzer identity.
In this case every commutative Gelfand-Mazur algebra A is homomorphic/isomorphic with a subalgebra of C(homA), similarly to the case of commutative Banach algebras.

Site: Follow: Share:
Open / Close